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Natali5045456 [20]
2 years ago
12

What is the following simplified product? Assume x>0.

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
8 0

Answer:

24x ^{3}  \sqrt{5 - 4x ^{3} } \sqrt{10x}

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Joel is using a recipe to make cookies for a club bake sale.
olasank [31]

Answer:

3/4 cups → 1 batch

x cups    → 2 batches

x = 2(3/4) = 6/4 = 1 1/2 cups

 

3/4 cups → 1 batch

y cups → 9 batches

y = 9(3/4) = 6 3/4 cups

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Nathan is playing golf at a golf course. The height of the golf ball from the ground, in feet, x seconds after the ball is hit i
lozanna [386]

Answer:

A.  the times at which the golf ball is on the ground

Step-by-step explanation:

The expression of the function is

h(x)= -4x^2+36x

The roots can be seen in the image below

You have a formula which represents the height over time.

The roots of the equation indicate that the height is equal to zero

The correct option is

A.  the times at which the golf ball is on the ground

The ball is in the ground at x= 0 and x = 9 seconds

8 0
3 years ago
9. Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of
netineya [11]

Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 12, \sigma = 3

What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?

This is 1 subtracted by the pvalue of Z when X = 16. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{16 - 12}{3}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082

1 - 0.9082 = 0.0918

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

5 0
2 years ago
Solve for x.<br> 7(1x - 3) = 4(x + 5)
alexandr1967 [171]

Answer:

x = 41/3

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

7(1x - 3) = 4(x + 5)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Simplify:                                        7(x - 3) = 4(x + 5)
  2. Distribute:                                     7x - 21 = 4x + 20
  3. Subtract 4x on both sides:          3x - 21 = 20
  4. Add 21 on both sides:                  3x = 41
  5. Divide 3 on both sides:                x = 41/3

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    7(1(41/3) - 3) = 4(41/3 + 5)
  2. Multiply:                        7(41/3 - 3) = 4(41/3 + 5)
  3. Subtract/Add:               7(32/3) = 4(56/3)
  4. Multiply:                        224/3 = 224/3

Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.

And we have our final answer!

6 0
2 years ago
Graph y=3/4x +5.<br> Click or tap the graph to plot a point
RoseWind [281]
Start at 5 and go up 3 and move 4 to the right

7 0
3 years ago
Read 2 more answers
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